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Select the letter-cluster from among the given options that can replace the question mark (?) in the following series. CYU XTP SOK NJF ?
ERT
IEA
IAI
EAI
IEA
Analyze the pattern for each of the three positions separately: Position 1 follows -1, -5, -5, -5; Position 2 follows -9, -5, -5, -5; Position 3 follows -6, -6, -5, -5.
Analyze the pattern for each of the three positions separately: Position 1 follows -1, -5, -5, -5; Position 2 follows -9, -5, -5, -5; Position 3 follows -6, -6, -5, -5.
Analyze First Position
C(3), X(24), S(19), N(14). The sequence is 3-5=24 (X), 24-5=19 (S), 19-5=14 (N), 14-5=9 (I).
Analyze Second Position
Y(25), T(20), O(15), J(10). The sequence is 25-5=20 (T), 20-5=15 (O), 15-5=10 (J), 10-5=5 (E).
Analyze Third Position
U(21), P(16), K(11), F(6). The sequence is 21-5=16 (P), 16-5=11 (K), 11-5=6 (F), 6-5=1 (A).
A: ERT is incorrect because the pattern for all positions is -5; C: IAI is incorrect because it deviates from the -5 pattern; D: EAI is incorrect as the first letter must be I.
B is correct because every letter in the cluster follows a consistent -5 pattern from the preceding letter cluster, resulting in IEA.
Always convert letters to their numerical positions (A=1, B=2, ..., Z=26) immediately to identify arithmetic sequences in letter-cluster problems.
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